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When Coders Prove Theorems: Agents, Lean, and the Quiet Death of the Specialist Prover

A coder does not trust a program because it sounds plausible. A coder runs it, reads the error message, changes the implementation, tests again, searches the library, asks a colleague, splits the problem, and keeps going until the machine stops complaining. That mundane loop is the interesting part of Numina-Lean-Agent: An Open and General Agentic Reasoning System for Formal Mathematics.1 The headline result is easy to market: with Claude Opus 4.5 as the base model, Numina-Lean-Agent solves all 12 Putnam 2025 problems in Lean, matching the reported perfect score of AxiomProver. Nice. The trophy cabinet sparkles. ...

January 21, 2026 · 20 min · Zelina
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When Retrieval Learns to Breathe: Teaching LLMs to Go Wide *and* Deep

Retrieval has a breathing problem. Most enterprise RAG systems inhale once, grab the nearest chunks, and then hope the model can make the answer sound less fragile than the evidence actually is. That works tolerably well when the user asks for something sitting neatly inside a document paragraph. It works less well when the answer lives across entities, relations, aliases, product categories, authors, diseases, suppliers, regulations, or customer records. In other words, it works less well in the part of business where knowledge is not a pile of text but a network. ...

January 21, 2026 · 18 min · Zelina
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Deep GraphRAG: Teaching Retrieval to Think in Layers

Retrieval has a management problem. Not the motivational-poster kind of management problem. The operational kind. A company asks its AI system a question about a contract, a customer dispute, a policy exception, or a technical incident. The answer is not sitting in one paragraph. It is distributed across definitions, transactions, policies, exceptions, and historical context. A flat vector search grabs a few semantically similar chunks and hopes the model can stitch them together. A global summarizer reads widely, compresses aggressively, and occasionally smooths away the exact fact that mattered. A local graph search follows nearby entities and may become very confident inside the wrong neighborhood. ...

January 20, 2026 · 14 min · Zelina
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SD‑RAG: Don’t Trust the Model, Trust the Pipeline

A chatbot should not be the only employee in the company responsible for keeping secrets. That sounds obvious until we look at how many enterprise RAG systems are designed. A user asks a question. The system retrieves internal documents. The documents are placed into the model context. A policy instruction is added somewhere above the user prompt: do not reveal sensitive information. Then everyone hopes the model behaves. ...

January 20, 2026 · 14 min · Zelina
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Houston, We Have a Benchmark: When Agentic AI Meets Orbital Reality

Space is not impressed by fluent reasoning. A satellite does not care that an AI agent has produced a confident plan. A ground station cannot magically see through the Earth because the prompt says “ensure connectivity.” A sensor cannot keep collecting images after its onboard storage is full. Orbital mechanics, power budgets, slew angles, data buffers, and line-of-sight geometry are not stakeholder preferences. They are constraints. Reality, annoyingly, still has root access. ...

January 19, 2026 · 13 min · Zelina
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Fish in the Ocean, Not Needles in the Haystack

Documents are where confident AI demos go to become slightly embarrassing. A model reads a long report. It gives the right answer. The room relaxes. Someone says “great, it understood the document,” and everyone pretends the word understood has not just been smuggled into the meeting without a passport. That is the exact mistake SIN-Bench is designed to catch.1 The paper is not merely another benchmark asking whether multimodal large language models can answer questions about scientific literature. It asks a more operationally painful question: can the model show the evidence path that makes the answer legitimate? ...

January 18, 2026 · 17 min · Zelina
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One-Shot Brains, Fewer Mouths: When Multi-Agent Systems Learn to Stop Talking

Meetings are expensive because people talk. Multi-agent AI systems have discovered the same problem, only with tokens instead of coffee. The standard promise sounds attractive: let several LLM agents play different roles, exchange views, debate mistakes, critique each other, and produce a better answer than one lonely model staring into the void. Sometimes this works. It also creates a very modern failure mode: a small committee of agents turns into a transcript factory. Every extra round adds context. Every context window invites more repetition. Every repetition costs money, latency, and occasionally correctness. Artificial intelligence, it turns out, can also suffer from over-management. ...

January 18, 2026 · 16 min · Zelina
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Seeing Is Not Thinking: Teaching Multimodal Models Where to Look

A model can see the image and still miss the point Inspection is a wonderfully cruel test for AI. Show a multimodal model a product photo, a medical scan, a factory defect, a form, or a dashboard screenshot, and the answer may sound calm, fluent, and technically plausible. The model may even imitate the reasoning style of a stronger teacher model. It may describe objects, infer relationships, and produce the correct-looking sentence. ...

January 18, 2026 · 17 min · Zelina
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MatchTIR: Stop Paying Every Token the Same Salary

Payroll is a useful metaphor for agent training because it makes the absurdity obvious. Imagine a project team where one employee finds the right database, another enters the correct query, a third repeatedly calls the wrong API, and a fourth finally writes the report. If the report is accepted, everyone receives the same bonus. If it fails, everyone receives the same blame. Very democratic. Also very stupid. ...

January 17, 2026 · 16 min · Zelina
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When Memory Stops Guessing: Stitching Intent Back into Agent Memory

Memory fails in a very ordinary way. A customer asks, “Can we use the same approval condition as before?” A research agent says, “Yes.” A procurement assistant retrieves the old vendor quote. A planning copilot remembers a hotel price from yesterday’s itinerary. Everything looks semantically relevant. The words match. The entities match. The embedding score smiles politely. ...

January 17, 2026 · 18 min · Zelina